What is the Greatest Common Factor of 45546 and 45565?

Greatest common factor (GCF) of 45546 and 45565 is 1.

GCF(45546,45565) = 1

We will now calculate the prime factors of 45546 and 45565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45546 and 45565.

How to find the GCF of 45546 and 45565?

We will first find the prime factorization of 45546 and 45565. After we will calculate the factors of 45546 and 45565 and find the biggest common factor number .

Step-1: Prime Factorization of 45546

Prime factors of 45546 are 2, 3, 7591. Prime factorization of 45546 in exponential form is:

45546 = 2¹ × 3¹ × 7591¹

Step-2: Prime Factorization of 45565

Prime factors of 45565 are 5, 13, 701. Prime factorization of 45565 in exponential form is:

45565 = 5¹ × 13¹ × 701¹

Step-3: Factors of 45546

List of positive integer factors of 45546 that divides 45546 without a remainder.

1, 2, 3, 6, 7591, 15182, 22773

Step-4: Factors of 45565

List of positive integer factors of 45565 that divides 45546 without a remainder.

1, 5, 13, 65, 701, 3505, 9113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45546 and 45565. The biggest common factor number is the GCF number.
So the greatest common factor 45546 and 45565 is 1.

Also check out the Least Common Multiple of 45546 and 45565